<h2>Problem 47</h2>
<div style="color:#666;font-size:80%;">04 July 2003</div><br />
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<p>The first two consecutive numbers to have two distinct prime factors are:</p>
<p style="margin-left:100px;">14 = 2 <img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' /> 7<br />15 = 3 <img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' /> 5</p>
<p>The first three consecutive numbers to have three distinct prime factors are:</p>
<p style="margin-left:100px;">644 = 2&sup2; <img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' /> 7 <img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' /> 23<br />645 = 3 <img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' /> 5 <img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' /> 43<br />646 = 2 <img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' /> 17 <img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' /> 19.</p>
<p>Find the first four consecutive integers to have four distinct primes factors. What is the first of these numbers?</p>

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